Hybrid loop quantum cosmology and predictions for the cosmic microwave background
arXiv:1702.06036 · doi:10.1103/PhysRevD.96.103528
Abstract
We investigate the consequences of the hybrid quantization approach for primordial perturbations in loop quantum cosmology, obtaining predictions for the cosmic microwave background and comparing them with data collected by the Planck mission. In this work, we complete previous studies about the scalar perturbations and incorporate tensor modes. We compute their power spectrum for a variety of vacuum states. We then analyze the tensor-to-scalar ratio and the consistency relation between this quantity and the spectral index of the tensor power spectrum. We also compute the temperature-temperature, electric-electric, temperature-electric, and magnetic-magnetic correlation functions. Finally, we discuss the effects of the quantum geometry in these correlation functions and confront them with observations.
arXiv comment34 pages, 23 figures, 1 table; v2: revised and minor improvements included
References in corpus (49)
- Planck 2015 results. XIII. Cosmological parameters
- The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
- BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
- Loop Quantum Cosmology: A Status Report
- Quantum Nature of the Big Bang: Improved dynamics
- Encyclopaedia Inflationaris
- Signature of Gravity Waves in Polarization of the Microwave Background
- Black hole entropy in Loop Quantum Gravity
- How long before the end of inflation were observable perturbations produced?
- Suppressing the lower Multipoles in the CMB Anisotropies
- First CMB Constraints on the Inflationary Reheating Temperature
- Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
- The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
- GRAVITATIONAL LENSING EFFECT ON COSMIC MICROWAVE BACKGROUND ANISOTROPIES: A POWER SPECTRUM APPROACH
- A Quantum Gravity Extension of the Inflationary Scenario
- Lensed CMB power spectra from all-sky correlation functions
- Probability of Inflation in Loop Quantum Cosmology
- Introduction to Loop Quantum Cosmology
- Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
- Hybrid quantization of an inflationary universe
- Loop quantum cosmology: From pre-inflationary dynamics to observations
- Gauge-Invariant Perturbations in Hybrid Quantum Cosmology
- Detailed analysis of the predictions of loop quantum cosmology for the primordial power spectra
- Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology
- Why are the effective equations of loop quantum cosmology so accurate?
- The Matter Bounce Alternative to Inflationary Cosmology
- Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology
- Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology
- Hybrid Quantization: From Bianchi I to the Gowdy Model
- Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
- Hybrid quantization of an inflationary model: The flat case
- Primordial power spectra for scalar perturbations in loop quantum cosmology
- Preferred instantaneous vacuum for linear scalar fields in cosmological space-times
- Comparison of primordial tensor power spectra from the deformed algebra and dressed metric approaches in loop quantum cosmology
- Prescriptions in Loop Quantum Cosmology: A comparative analysis
- Universal features of quantum bounce in loop quantum cosmology
- Holonomy Corrections in the Effective Equations for Scalar Mode Perturbations in Loop Quantum Cosmology
- Observational Exclusion of a Consistent Quantum Cosmology Scenario
- Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
- Unique Fock quantization of scalar cosmological perturbations
- Primordial tensor modes of the early Universe
- Matter in inhomogeneous loop quantum cosmology: the Gowdy model
- Rainbow metric from quantum gravity
- Quantum corrections to the Mukhanov-Sasaki equations
- Hybrid Models in Loop Quantum Cosmology
- Massless scalar field in de Sitter spacetime: unitary quantum time evolution
- Approximation methods in Loop Quantum Cosmology: From Gowdy cosmologies to inhomogeneous models in Friedmann-Robertson-Walker geometries
- Modified FRW cosmologies arising from states of the hybrid quantum Gowdy model
- Modeling effective FRW cosmologies with perfect fluids from states of the hybrid quantum Gowdy model
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- Alleviating the Tension in the Cosmic Microwave Background using Planck-Scale Physics
- Hybrid Loop Quantum Cosmology: An Overview
- Primordial scalar power spectrum from the hybrid approach in loop cosmologies
- Time-dependent mass of cosmological perturbations in the hybrid and dressed metric approaches to loop quantum cosmology
- The Vacuum State of Primordial Fluctuations in Hybrid Loop Quantum Cosmology
- Primordial power spectrum from the dressed metric approach in loop cosmologies
- Quantum-gravity effects for excited states of inflationary perturbations
- Observations in Quantum Cosmology
- Non-adiabatic Evolution of Primordial Perturbations and non-Gaussinity in Hybrid Approach of Loop Quantum Cosmology
- Phenomenological implications of modified loop cosmologies: an overview
- States of Low Energy in bouncing inflationary scenarios in Loop Quantum Cosmology
- Non-oscillating power spectra in Loop Quantum Cosmology
- The Martin-Benito-Mena Marugan-Olmedo prescription for the Dapor-Liegener model of Loop Quantum Cosmology
- Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
- Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
- Analytical investigation of pre-inflationary effects in the primordial power spectrum: From General Relativity to hybrid Loop Quantum Cosmology
- Observational consequences of Bianchi I spacetimes in loop quantum cosmology
- Hamiltonian theory of classical and quantum gauge invariant perturbations in Bianchi I spacetimes
- Power spectrum of primordial perturbations for an emergent universe in quantum reduced loop gravity
- A moment approach to compute quantum-gravity effects in the primordial universe
- Fermions in Hybrid Loop Quantum Cosmology
- Loop quantum cosmology: relation between theory and observations
- Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
- Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
- Preinflationary dynamics of power-law potential in loop quantum cosmology
- Backreaction of fermionic perturbations in the Hamiltonian of hybrid loop quantum cosmology
- Alleviation of anomalies from the non-oscillatory vacuum in loop quantum cosmology
- Gravitational-wave background in bouncing models from semi-classical, quantum and string gravity
- Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
- Perturbations in Quantum Cosmology: The Continuum Limit in Fourier Space
- Mass of cosmological perturbations in the hybrid and dressed metric formalisms of Loop Quantum Cosmology for the Starobinsky and exponential potentials
- Axial perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
- Gravitational Particle Production and the Validity of Effective Descriptions in Loop Quantum Cosmology
- Scalar Cosmological Perturbations from Quantum Entanglement within Lorentzian Quantum Gravity
- The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization
- Choice of vacuum state and the relation between inflationary and Planck scales
- Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
- Effects of the inflaton potential on the primordial power spectrum in Loop Quantum Cosmology scenarios
- Estimation of imprints of the bounce in loop quantum cosmology on the bispectra of cosmic microwave background
- Quantum gravity and gravitational-wave astronomy
- Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology
- On the evolution of the volume in Loop Quantum Cosmology
- Quantization ambiguities and the robustness of effective descriptions of primordial perturbations in hybrid Loop Quantum Cosmology
- Cosmic tango between the very small and the very large: Addressing CMB anomalies through Loop Quantum Cosmology
- Primordial perturbations in kinetically dominated regimes of general relativity and hybrid quantum cosmology
- Non-oscillating vacuum states and the quantum homogeneity and isotropy hypothesis in Loop Quantum Cosmology
- The Effect of a positive cosmological constant on the bounce of Loop Quantum Cosmology